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Theorem transaction-prefix-app-nonlast
ndx1 ≠ [], # ndx = # gndx ⊦ transaction-prefix(ndx + nd ' + ndx1, gndx) → transaction-prefix(ndx + nd ' + ndx1, gndx + mkgnode(nd, n, ndx = [], false) ')
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
gjournal-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 51
Used lemmas:
transaction-prefix
,
Used spec theorems:
list-del
/node-list/
get-append-grt
list-del
/group-store/
get-append-grt
Used simplifier rules:
nat-basic
/
l-01
nat
/
lep
list
/group-store/
len
list
/node-list/
len-05
list
/node-list/
len
list
/group-store/
app-02
list
/group-store/
e
list
/group-store/
e-02
groupnode
/
elim
list-del
/group-store/
get-append-grt
nat
/
lez-01
list
/group-store/
in-empty
nat-basic
/
zero-01
list
/group-store/
app
list
/group-store/
in-11
list
/group-store/
in-01
list
/group-store/
in-14
list
/group-store/
inapp-10
list-last
/group-store/
lapp-04
list-del
/group-store/
get-zero
nat-basic
/
zero
nat
/
lez
nat-basic
/
l
list
/group-store/
in-append0-not-left
list
/group-store/
ni
list-del
/node-list/
get-append-less
list
/group-store/
in-17
list
/group-store/
in-append
nat-basic
/
oz
nat
/
succ-01
list-del
/group-store/
get-butlast
nat
/
elim-pred-c
list
/node-list/
a
list-del
/node-list/
get-zero-01
nat
/
zero
oelem
/nat-set/
irreflexivity
nat-basic
/
lf-01
nat-basic
/
lf-02
nat-basic
/
f
nat
/
lels-03
nat
/
anti
nat
/
ler
nat
/
let
nat
/
lels
list-del
/group-store/
get-append-less
list-data
/group-store/
size-01
list-del
/group-store/
one-03
list-data
/node-list/
l
list
/group-store/
Nil
list
/group-store/
c-03
list
/group-store/
inapp-08
list-data
/group-store/
l
nat-basic
/
one-01
list
/group-store/
len-02
list
/group-store/
c
list
/group-store/
len-05
nat-basic
/
succ
list
/group-store/
a
nat
/
add-01
nat-basic
/
add-base
nat-basic
/
a
nat-basic
/
c
list-del
/group-store/
get-succ
list
/group-store/
c-06
groupnode
/
inj
list
/group-store/
e-01
list
/group-store/
in-rec
nat-basic
/
s-04
list
/group-store/
in-15
list-del
/group-store/
get-last-03
list-data
/group-store/
elim-list-c